Consider the diagram and proof by contradiction. given: △abc with ab ≅ ac since it is given that ab ≅ ac, it must also be true that ab = ac. assume ∠b and ∠c are not congruent. then the measure of one angle is greater than the other. if m∠b > m∠c, then ac > ab because of the triangle parts relationship theorem. for the same reason, if m∠b < m∠c, then ac < ab. this is a contradiction to what is given. therefore, it can be concluded that

The conclusion is ∠B and ∠C are congruent.

Step-by-step explanation:

Given a △ABC with AB ≅ AC

Since AB ≅ AC implies AB=AC.

Now as given assumption ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other and if    

m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

and if m∠B < m∠C, then AC < AB by the same reason.

As we know if in a triangle two sides are equal then the triangle becomes an isosceles triangle

Since triangle is isosceles then the angles opposite to equal sides are equal i.e

if AB=AC then ∠B = ∠C in △ABC

which is contradiction to the assumption that ∠B and ∠C are not congruent.

Therefore, it can be concluded that

∠B and ∠C are congruent.

∠B and ∠C

Step-by-step explanation:

answer: 4 (:

step-by-step explanation: